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451023144 = 233112132919
BaseRepresentation
bin11010111000100…
…001000100101000
31011102200100102220
4122320201010220
51410430220034
6112430554040
714114430165
oct3270410450
91142610386
10451023144
11211655400
12107068920
1372597600
1443c8706c
15298e1749
hex1ae21128

451023144 has 144 divisors (see below), whose sum is σ = 1343512800. Its totient is φ = 126023040.

The previous prime is 451023137. The next prime is 451023161. The reversal of 451023144 is 441320154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490317 + ... + 491235.

It is an arithmetic number, because the mean of its divisors is an integer number (9329950).

Almost surely, 2451023144 is an apocalyptic number.

451023144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671756400).

451023144 is an abundant number, since it is smaller than the sum of its proper divisors (892489656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451023144 is a wasteful number, since it uses less digits than its factorization.

451023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 451023144 is about 21237.3054788031. The cubic root of 451023144 is about 766.8897667876.

Adding to 451023144 its reverse (441320154), we get a palindrome (892343298).

The spelling of 451023144 in words is "four hundred fifty-one million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 169 242 264 286 312 338 363 429 484 507 572 676 726 858 919 968 1014 1144 1352 1452 1573 1716 1838 1859 2028 2757 2904 3146 3432 3676 3718 4056 4719 5514 5577 6292 7352 7436 9438 10109 11028 11154 11947 12584 14872 18876 20218 20449 22056 22308 23894 30327 35841 37752 40436 40898 44616 47788 60654 61347 71682 80872 81796 95576 111199 121308 122694 131417 143364 155311 163592 222398 242616 245388 262834 286728 310622 333597 394251 444796 465933 490776 525668 621244 667194 788502 889592 931866 1051336 1242488 1334388 1445587 1577004 1708421 1863732 2668776 2891174 3154008 3416842 3727464 4336761 5125263 5782348 6833684 8673522 10250526 11564696 13667368 17347044 18792631 20501052 34694088 37585262 41002104 56377893 75170524 112755786 150341048 225511572 451023144